Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems. (Q1416306)
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scientific article; zbMATH DE number 2017122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems. |
scientific article; zbMATH DE number 2017122 |
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Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems. (English)
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14 December 2003
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After a short summary of the theory of real planar polynomial systems of autonomous differential equations, the authors consider a special class of cubic systems with an equilibrium of focal type at infinity. The recursive calculation of focal values (partly by MATHEMATICA) allows to create an example with 6 limit cycles in a neighborhood of infinity.
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cubic system
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quantities at infinity
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bifurcation of limit cycles
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